116968608 has 72 divisors (see below), whose sum is σ = 333729396. Its totient is φ = 38860800.

The previous prime is 116968603. The next prime is 116968609. The reversal of 116968608 is 806869611.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 108743184 + 8225424 = 10428^2 + 2868^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (116968601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132328 + ... + 133208.

Almost surely, 2^116968608 is an apocalyptic number.

116968608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116968608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166864698).

116968608 is an abundant number, since it is smaller than the sum of its proper divisors (216760788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116968608 is a wasteful number, since it uses less digits than its factorization.

116968608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 116968608 is about 10815.2026333305. The cubic root of 116968608 is about 489.0535778799.

The spelling of 116968608 in words is "one hundred sixteen million, nine hundred sixty-eight thousand, six hundred eight".